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Finding the Fourth Proportional to 74,001.72, 102,120.30 and 40,467

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Solution

The fourth proportional to 74,001.72, 102,120.30 and 40,467 is: 55,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,001.72 : 102,120.30 = 40,467 : x
  2. Step 2: Convert to fraction form
    74,001.72/102,120.30 = 40,467/x
  3. Step 3: Cross multiply
    74,001.72x = 102,120.30 × 40,467
  4. Step 4: Simplify right side
    74,001.72x = 4,132,502,180.10
  5. Step 5: Solve for x
    x = 4,132,502,180.10/74,001.72
  6. Step 6: Final answer
    x = 55,843.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.